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Suppose a = (3524)\left( \begin{array} { l l } 3 & 5 \\2 & 4\end{array} \right)

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Suppose A = (3524)\left( \begin{array} { l l } 3 & 5 \\2 & 4\end{array} \right) and C = (2106)\left( \begin{array} { l l } 2 & 1 \\0 & 6\end{array} \right) . Find a matrix B such that AB = C or prove that no such matrix exists.

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